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- 1. Two points in the æy plane have Cartesian coordinates (2.00, –4.00) m and (-3.00, 3.00) m. Determine (a) the distance between these points and Answer + (b) their polar coordinates. AnswerQuestion: The polar coordinates of a point are 50m and . Then, what are its Cartesian coordinates? A. 2.75i+ 4.763j m, B. -2.75i- 4.763j m, C. 2.75i - 4.763j m, D. 4.763j m, E. -2.75i + 4.763j m,7. DETAILS Two points in the xy plane have Cartesian coordinates (4.00, -3.50) m and (-7.50, 7.50) m. (a) Determine the distance between these points. m (b) Determine their polar coordinates. (4.00, -3.50) r = (4.00, -3.50) 0 = (-7.50, 7.50) r = (-7.50, 7.50) 0 = A m o counterclockwise from the +x-axis. m counterclockwise from the +x-axis MY NOTES ASK YOUR TEACHER
- If [x, p]=in and π = _—_p²+ -—-k x², , evaluate the commutator [.]. 2m 00 O O P m iħ 2m -P ħ iħ ħ m 2m iħ m 2m -P -P -P iħ mSuppose A = (-2.28 m)i + (4.92 m)j, B = (2.69 m)i + (-3.81 m)j + (1.48 m)k, and D = (-3.56 m)i + (-3.89 m)j. What is the angle in degrees between D and A? What is the angle in degrees between D and B?The point specified by the Cartesian coordinates (3, 5) is which of the follow when converted to polar coordinates? Group of answer choices (8.00, 31.0º) (8.00, 53.1º) (5.83, 59.0º) (5.83, 31.0º) (6.72, 53.1º) (6.72, 31.0º)
- A metal wire is bent to the shape of a circular arc as shown in the figure. The arc is centered around the origin. Please, notice that the arc goes through grid intersection points. y (cm) 8 7 6 5 43 210123456 -5 -6 -7 -8 HH || -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 x (cm) The wire has a constant linear charge density of 1.33 nC/cm. What is the total electric charge of the wire? Submit Answer Tries 0/12 What is the x-component of the electric field at the origin due to the charged wire? Submit Answer Tries 0/12 What is the y-component of the electric field at the origin? Submit Answer Tries 0/1233 - Calculate the angle between the vectors Ả = 3î + 2j and B = - î – 4j. a) 43.6 degrees B) 82.4 degrees NS) 76.3 degrees D) 60.2 degrees TO) 28.4 degreesSet 3: Find the midpoint between each pair of points. 1. (0, 8) and (8, -6) C. (8, -9) and (8, 5) М 19. (3, 7) and (-9, 5) R. (5, -6) and (-1, -8) M = 10. (6, 3) and (10, -7) M = L. (4, -1) and (6, 1) M 3= 4. (9, -4) and (-5, -10) T. (-1, -7) and (9, 9) M = M = 12. (8, -3) and (2, 3) w. (-3, 3) and (-3, 9) Set 4: Find the midpoint between each pair of points.
- CLO 4 If the plane x+y+z-1=0 cuts the x-axis, y-axis, and z-axis at A, B, and C respectively. Find the perpendicular distance to the point P(2,6,9). В а. 9.24 b. 8.66 С. 9.81 d. None of the choices О е. 5.33 f. 5.67 N.3ll ZAIN IQ Converting the Cartesian -2 coordinate (3,0) to polar نقطتان )2( * :coordinate gives A (0,-3) O B (-3,1) O C (3,n) D (3,-1) 3 نقاط The point of intersection of -5 the graphs r = 4 and r = 2-2cose :is the point A (4 , 1/2) O B (2, T) C (4, T) D (-4, n) 4 نقاط The area of the region lies -6If JĀ×B = 3 Ā.B, then the angle between the vectors A and B is: o 84.3 071.6 63.4° 0 76.0